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Finding the Fourth Proportional to 14,013.84, 21,024.72 and 4,153.08

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Solution

The fourth proportional to 14,013.84, 21,024.72 and 4,153.08 is: 6,230.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.84 : 21,024.72 = 4,153.08 : x
  2. Step 2: Convert to fraction form
    14,013.84/21,024.72 = 4,153.08/x
  3. Step 3: Cross multiply
    14,013.84x = 21,024.72 × 4,153.08
  4. Step 4: Simplify right side
    14,013.84x = 87,317,344.14
  5. Step 5: Solve for x
    x = 87,317,344.14/14,013.84
  6. Step 6: Final answer
    x = 6,230.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.